Newton-Okounkov bodies obtained from certain orbits of plabic graphs

2025/01/20 by Michael Schlößer, Schlößer, Michael
Engineering · Physics and Astronomy · #Spacecraft Dynamics and Control #Astro and Planetary Science #Space Satellite Systems and Control

paper · pdf · doi:10.48550/arxiv.2501.11466

Abstract

We investigate the plabic graphs corresponding to the quadrilateral Postnikov arrangements used by J.Scott to equip the homogeneous coordinate rings of Grassmannians with a cluster structure. More precisely we describe their orbits under the natural action of the dihedral group and show that the associated Newton-Okounkov bodies are all unimodular equivalent to Gelfand-Tsetlin polytopes.

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